Arithmetic Average Transformation Technique to Solve Multi-Objective Quadratic Programming Problem


  • Najmaddin A. Sulaiman Faculty of Education, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Basiya K. Abulrahim Faculty of Education, University of Garmian, Kurdistan Region, Iraq. Author



MOQPP, Arithmetic Average


In this paper, we used arithmetic average transform technique for solving the multi-objective quadratic programming problem (MOQPP) to single-objective quadratic programming problem(SOQPP), through a new method using arithmetic average, then solve the problems by Wolfe's method [3,12].The obtain results are compared with that of modified method given in [11] and with the Chandra Sen. method [7].


- Abdil-Kadir, M. S. and Sulaiman, N. A., (1993) “An Approach for Multi-objective Fractional programming problem”, Journal of the College of Education, University of Salahaddin, ErbilIraq, Vol. 3, No. 1, PP. 1-5

- Cheney, W. and Kincaid, D., (2004), “Numerical Mathematics and Computing”, fifth Edition, Thomson, Belmont, USA, P(789)

- Das, B. Ch., (2009)“A Comparative Study of the Methods of Solving Non-Linear Programming Problem”, Daffodil International University Journal of science and Technology, Vol. 4, Issue 1, PP. 28-34 DOI:

- Hamad-Amin A. O., (2008) “ An Adaptive Arithmetic Average Transformation Technique for Solving MOOPP”, M.Sc. Thesis, University of Koya, koya/Iraq

- Mohammad, M. F. and Sulaiman, N. A., (1992) “Multi-Objective Fractional Complimentary Program”, Zanco Journal, University of Salahaddin, Hawler / Iraq, Vol. 4, No. 4

-Sulaiman, N. A. and Sadiq, G. W., (2006) “Solving the Linear Multi-Objective Programming Problems; Using Mean and Median Value”, Al-Rafiden Journal of computer sciences and mathematics, University of Mosul, Vol. 3,No. 1,PP. 69-83 DOI:

-Sen., Ch., (1983) “A New Approach for Multi-Objective Rural Development Planning”, The Indian Economic Journal, Vol. 30, No. 4, PP. 91-96

- Sulaiman, N. A. and Othman, A. Q., (2007) “Optimal Transformation Technique to Solve Multi-Objective Linear Programming Problem”, Journal of University of Kirkuk, Vol. 2, No. 2 DOI:

- Salih, A. D., (2010) “On Solving Linear Fractional Programming Problems with Extreme Points”, M.Sc. Thesis, University of Salahaddin, Hawler/Iraq

- Sulaiman, N. A., (1989) “Extreme Point Quadratic Programming Problem Techniques”, M.Sc. Thesis, University of Salahaddin, HawlerIraq

- Sulaiman, N. A., and Abdul-Rahim B., K. (2011)“Optimal Cutting Plane Procedure for Multi-Objective Quadratic Programming Problem”, Journal of Koya University, ISSN. 2073-0713,No.20, PP. 119-130

- Sharma, S. D., (1980)“Nonlinear and Dynamic Programming”Department of mathematic, Meerut College, Meerut University, KedarNath RamNath and CO., Publishers Meerut, P (547)



How to Cite

Arithmetic Average Transformation Technique to Solve Multi-Objective Quadratic Programming Problem. (2012). Journal of Zankoy Sulaimani - Part A, 15(1), 57-69.

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